1659744240 has 640 divisors, whose sum is σ = 7028121600. Its totient is φ = 313528320.

The previous prime is 1659744173. The next prime is 1659744241. The reversal of 1659744240 is 424479561.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 1659744192 and 1659744201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1659744241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 10182399 + ... + 10182561.

It is an arithmetic number, because the mean of its divisors is an integer number (10981440).

Almost surely, 2^1659744240 is an apocalyptic number.

1659744240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1659744240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3514060800).

1659744240 is an abundant number, since it is smaller than the sum of its proper divisors (5368377360).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1659744240 is a wasteful number, since it uses less digits than its factorization.

1659744240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 42.

The square root of 1659744240 is about 40739.9587628657. The cubic root of 1659744240 is about 1183.9873347501.

The spelling of 1659744240 in words is "one billion, six hundred fifty-nine million, seven hundred forty-four thousand, two hundred forty".